Abstract—All fundamental constants of quantum physics are identified as geometrical parameters of a spherical spiral rhythmically pulsating from zero to infinity relatively of equator PI*E. This product of transcendental numbers generates functions of normal distribution of inverse radii and corresponding eccentricities and perimeters. Gradients of both normal and log-normal distribution of reversed geometrical parameters give possibility to identify and evaluate physical quantum units with practically unlimited accuracy. Application of parabolic, hyperbolic and logarithmical bonds of transcendental numbers PI and E solves the problem of geometrical commutativity and mutually coordinates the quantum constants. For the first time the expressions for units of Kelvin, Avogadro, Boltzmann, Planck, of speed of light, background temperature, harmonic translational velocity, of fine structure, elementary charge, relative molar mass and Newtonian gravitation have been obtained analytically. Quantum units are mutually matched on accuracy within most accurate CODATA values. The main conclusion is that quantum physics, in fact, is a two-dimensional image of a wave front motion in a three-dimensional space.
Index Terms—Absolute metric, noncommutative mathematics, complex geometry, gauge equations, fundamental quantum constants.
Eugene Machusky is with National Technical University of Ukraine "Kyiv Polytechnic Institute", Ukraine (e-mail: sivera@ukr.net).
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Cite: Eugene Machusky, "Complex Geometry of Wave Motion," International Journal of Engineering and Technology vol. 10, no. 2, pp. 184-188, 2018.